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Surface flaw distributions in brittle materials and Hertzian fracture

Published online by Cambridge University Press:  03 March 2011

P.D. Warren ,
D.A. Hills  and
S.G. Roberts
P.D. Warren
Affiliation:
Department of Materials, Oxford University, Parks Road, Oxford OXI 3PH, England
D.A. Hills
Affiliation:
Department of Engineering Science, Oxford University, Oxford OXI 3PJ, England
S.G. Roberts
Affiliation:
Department of Materials, Oxford University, Parks Road, Oxford OXI 3PH, England
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Abstract

Refined mode I and mode II stress intensity factors for short cracks perpendicular to a free surface driven by a Hertzian indenter have been calculated for the case where the sphere and substrate are made of the same material. Computer simulations of Hertzian indentation tests for a variety of random surface flaw distributions show that the ring crack is expected to form outside the contact radius in all cases and that for spheres of small radii, the fracture load is expected to be proportional to the sphere radius (Auerbach's law). Reconstruction of the surface flaw distribution using the “searched area” concept is described. A useful analytical approximation for the stress intensity factors is also presented.

Type
Articles
Information
Journal of Materials Research , Volume 9 , Issue 12 , December 1994 , pp. 3194 - 3202
Copyright
Copyright © Materials Research Society 1994

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References

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